We're dividing 341959 by 30 
Our goal is to divide 341959 by 30.

Advancing to step 1:
If we divide 3 by 30, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 30

Step 2:
34 divided by 30 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 4 after subtracting 30 from 34.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 30

On to step 3:
30 goes into 41 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 11 after subtracting 30 from 41.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 30

Step 4:
The number 30 fits into 119 3 times, leaving a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
If we subtract 90 from 119, we get 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 30

Let's proceed to step 5:
30 goes into 295 9 times with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 1139.0
The remainder is 25 after subtracting 270 from 295.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 30

Step 6:
30 goes into 259 8 times with a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 11398.0
Deduct 240 from 259 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
190 divided by 30 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 11398.6
The remainder is 10 after subtracting 180 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 30, we get 3 and a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 11398.63
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 30 is 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 11398.633
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 11398.633 with a balance of 0.001.